Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #15689634 | C2 | semidirect |
| 2. #15689458 | C2 | semidirect |
| 3. #15689444 | C2 | semidirect |
| 4. #15689441 | C2 | semidirect |
| 5. #15689357 | C2 | semidirect |
| 6. #15689350 | C2 | semidirect |
| 7. #15689274 | C2 | semidirect |
| 8. #15689266 | C2 | semidirect |
| 9. #15689257 | C2 | semidirect |
| 10. C2×C22⋊(C47⋊C8) | C2 | semidirect |
| 11. C2×#121×C47 | C2 | semidirect |
| 12. C2×#10625350 | C22 | semidirect |
| 13. C2×#10625335 | C22 | semidirect |
| 14. C2×#10625334 | C22 | semidirect |
| 15. C22×C47⋊C8 | C22 | semidirect |
| 18. #13094003 | C22 | semidirect |
| 20. #13093998 | C22 | semidirect |
| 24. #13093983 | C22 | semidirect |
| 25. #13093957 | C22 | semidirect |
| 26. #13093955 | C22 | semidirect |
| 27. #13093947 | C22 | semidirect |
| 28. #13093945 | C22 | semidirect |
| 29. #13093945 | C22 | semidirect |
| 30. #13093944 | C22 | semidirect |
| 33. C22⋊(C47⋊C8) | C22 | semidirect |
| 160. C2×#121 | D47 | semidirect |
| 170. C47 | #3188 | semidirect |